DeepAI AI Chat
Log In Sign Up

An energy stable C^0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density

08/10/2019
by   Lingyue Shen, et al.
0

In this paper, we focus on modeling and simulation of two-phase flow with moving contact lines and variable density. A thermodynamically consistent phase-field model with General Navier Boundary Condition is developed based on the concept of quasi-incompressibility and the energy variational method. Then a mass conserving and energy stable C0 finite element scheme is developed to solve the PDE system. Various numerical simulation results show that the proposed schemes are mass conservative, energy stable and the 2nd order for P1 element and 3rd order for P2 element convergence rate in the sense of L2 norm.

READ FULL TEXT

page 15

page 17

page 20

page 21

page 22

page 24

page 25

11/15/2021

A massless boundary component mode synthesis method for elastodynamic contact problems

We propose to combine the ideas of mass redistribution and component mod...
03/14/2021

Implementing contact angle boundary conditions for second-order Phase-Field models of wall-bounded multiphase flows

In the present work, a general formulation is proposed to implement the ...
12/10/2020

An Energy Stable C0 Finite Element Scheme for A Phase-Field Model of Vesicle Motion and Deformation

A thermodynamically consistent phase-field model is introduced for simul...
01/08/2022

Energy stable finite element scheme for simulating flow dynamics of droplets on non-homogeneous surfaces

An energy stable finite element scheme within arbitrary Lagrangian Euler...
06/11/2019

Phase-field material point method for dynamic brittle fracture with isotropic and anisotropic surface energy

A novel phase field material point method is introduced for robust simul...
06/25/2021

On Some Quasi-Variational Inequalities and Other Problems with Moving Sets

Since its introduction over 50 years ago, the concept of Mosco convergen...